10900648890208 has 192 divisors, whose sum is σ = 28820080558080. Its totient is φ = 3931309324800.

The previous prime is 10900648890203. The next prime is 10900648890227. The reversal of 10900648890208 is 80209884600901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10900648890203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345528 + ... + 4859191.

It is an arithmetic number, because the mean of its divisors is an integer number (150104586240).

Almost surely, 2^{10900648890208} is an apocalyptic number.

It is an amenable number.

10900648890208 is an abundant number, since it is smaller than the sum of its proper divisors (17919431667872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10900648890208 is a wasteful number, since it uses less digits than its factorization.

10900648890208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204801 (or 6204793 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 10900648890208 in words is "ten trillion, nine hundred billion, six hundred forty-eight million, eight hundred ninety thousand, two hundred eight".